Taylor Polynomials and Series are in Sections 11.10 and 11.11 of Stewart. However, since we are not doing the rest of Chapter 11, here are some notes and selected problems you can do from those sections. Also, Stewart does the topics in reverse– series first and then polynomials. So you may want to wait until we finish TN 1-5 before looking at the book.

Section 11.10 Taylor and Maclaurin Series

McLaurin series is Taylor series with a=0. Ignore division of series and binomial series. You can do problems 1, 2, 5-10, 13-20, 22, 29-44, 47-50, 55-58 and 63-68. (Correct to k decimal places means the error is less than 5*10^(-k-1).)

Section 11.11 Applications of Taylor Polynomials

Ignore the section on applications to physics. You can do problems 1-10, 13-21 parts (a) and (b), 23-26.